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Performance of Block Codes Using the Eigenstructure of the Code Correlation Matrix and Soft-Decision Decoding of BPSK

By Vitalice K. Oduol and Cemal Ardil


� Abstract—A method is presented for obtaining the error probability for block codes. The method is based on the eigenvalueeigenvector properties of the code correlation matrix. It is found that under a unary transformation and for an additive white Gaussian noise environment, the performance evaluation of a block code becomes a one-dimensional problem in which only one eigenvalue and its corresponding eigenvector are needed in the computation. The obtained error rate results show remarkable agreement between simulations and analysis. Keywords—bit error rate, block codes, code correlation matrix, eigenstructure, soft-decision decoding, weight vector. I

Year: 2013
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